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2025100125 = 3253672401
BaseRepresentation
bin111100010110100…
…1001001101011101
312020010120202010100
41320231021031131
513121411201000
6532540531313
7101120031666
oct17055111535
95203522110
102025100125
1194a130774
12486250b39
13263724cc9
14152d5036d
15bcbbea00
hex78b4935d

2025100125 has 72 divisors (see below), whose sum is σ = 3715121592. Its totient is φ = 1061280000.

The previous prime is 2025100117. The next prime is 2025100153. The reversal of 2025100125 is 5210015202.

It can be written as a sum of positive squares in 4 ways, for example, as 33977241 + 1991122884 = 5829^2 + 44622^2 .

It is not a de Polignac number, because 2025100125 - 23 = 2025100117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2025100098 and 2025100107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5049925 + ... + 5050325.

It is an arithmetic number, because the mean of its divisors is an integer number (51598911).

Almost surely, 22025100125 is an apocalyptic number.

2025100125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2025100125 is a deficient number, since it is larger than the sum of its proper divisors (1690021467).

2025100125 is an equidigital number, since it uses as much as digits as its factorization.

2025100125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 2025100125 is about 45001.1124862486. The cubic root of 2025100125 is about 1265.1698491388.

Adding to 2025100125 its reverse (5210015202), we get a palindrome (7235115327).

The spelling of 2025100125 in words is "two billion, twenty-five million, one hundred thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 67 75 125 201 225 335 375 401 603 1005 1125 1203 1675 2005 3015 3609 4489 5025 6015 8375 10025 13467 15075 18045 22445 25125 26867 30075 40401 50125 67335 75375 80601 90225 112225 134335 150375 202005 241803 336675 403005 451125 561125 671675 1010025 1209015 1683375 1800089 2015025 3358375 5050125 5400267 6045075 9000445 10075125 16200801 27001335 30225375 45002225 81004005 135006675 225011125 405020025 675033375 2025100125